the perimeter of a parallelogram is 48 inches and the ratio of the lengths of the sides is 3:5. what are the lengths of the sides

Let the sides of the parallelogram be 3x and 5x

solve
2(3x + 5x) = 48

To find the lengths of the sides of the parallelogram, we can start by understanding the relationship between the ratio and the perimeter.

Let's assume the lengths of the sides in the parallelogram are 3x and 5x, where x is a common factor.

Since the perimeter of a parallelogram is the sum of all its sides, we can form an equation:

Perimeter = 2(length + width)

Given that the perimeter is 48 inches, we can substitute the lengths of the sides into the equation:

48 = 2(3x + 5x)

Now, let's solve for x:

48 = 2(8x)

48 = 16x

Divide both sides by 16:

3 = x

Now that we know x = 3, we can find the actual lengths of the sides:

Length = 3x = 3 * 3 = 9 inches
Width = 5x = 5 * 3 = 15 inches

Therefore, the lengths of the sides of the parallelogram are 9 inches and 15 inches.